1. The problem asks to fill in the blanks about formulas and then rewrite the area formula $A = b \cdot h$ to solve for height $h$. 2. A formula models a relationship between **variables** that represent real values in a situation or context. 3. Each variable represents a **quantity** measured with a given **unit**. 4. For example, the formula $A = b \cdot h$ tells us that the area of a rectangle is equal to the **product** of the **base** and the **height**. 5. We can rewrite the area formula to make it easier to find the **height** or the base when we know the **area** and one of the other two quantities. 6. Starting with the formula: $$A = b \cdot h$$ 7. Divide both sides by $b$ to isolate $h$: $$\frac{A}{b} = \frac{b \cdot h}{b}$$ 8. Simplify the right side by canceling $b$: $$\frac{A}{\cancel{b}} = h \cdot \frac{\cancel{b}}{b} \Rightarrow \frac{A}{b} = h$$ 9. Flip the equation to write $h$ on the left side: $$h = \frac{A}{b}$$ This is the formula for height in terms of area and base.